Here’s a counter example: France reduced its presidential term from seven to five years because it found that the longer term exhibited worse hysteresis.*

Also, California implemented term limits which have made the government worse: rather than having a politician learn the ropes and build a specific practice over time, they get into office, spend a term learning and doing a little useful stuff; by the second term they can start to be really useful, but have to think about their next job as well. This has increased the power of lobbyists who do have longer tenure.

* The specific problem was electing an unpopular and corrupt president because his alternative was worse.